Abstract
Consider two cubical sets X and Y. In Chapter 2 we have studied the associated homology groups H*(X) and H*(Y). Now assume that we are given a continuous map f: X → Y. It is natural to ask if f induces a group homomorphism f*: H*(X) → H*(Y). If so, do we get useful information out of it? The answer is yes and we will spend the next three chapters explaining how to define and compute f*. It is worth noting, even at this very preliminary stage, that since H*(X) and H*(Y) are abelian groups, f* is essentially a linear map and therefore, from the algebraic point of view, easy to use.KeywordsArithmetic OperationInterval ArithmeticCombinatorial ObjectElementary CubeTight ApproximationThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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